Skip to main content
SpringerLink
Log in

Accurate and versatile equations of state for the Sun and Sun-like stars

  • Original Article
  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

For models of the Sun and Sun-like stars, a high-quality equation of state is crucial. In addition, helioseismic and asteroseismic observations also put constraints on the physical formalisms. Thus, they effectively turn the Sun and the stars into laboratories for dense plasmas. Currently, the main astrophysical beneficiary of a good equation of state is the determination of the chemical composition. Here, seismic data have supplemented spectroscopic information. Recently, there has been theoretical progress in the equation of state, thanks to renewed rigorous and phenomenological approaches.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Alastuey, A., Ballenegger, V.: J. Phys. A, Math. Theor. 42, 214031 (2009)

    Article  ADS  Google Scholar 

  • Alastuey, A., Perez, A.: Europhys. Lett. 20, 19 (1992)

    Article  ADS  Google Scholar 

  • Alastuey, A., Perez, A.: Phys. Rev. E 53, 5714 (1996)

    Article  ADS  Google Scholar 

  • Alastuey, A., Cornu, F., Perez, A.: Phys. Rev. E 49, 1077 (1994)

    Article  ADS  Google Scholar 

  • Alastuey, A., Cornu, F., Perez, A.: Phys. Rev. E 51, 1725 (1995)

    Article  ADS  Google Scholar 

  • Asplund, M.: Annu. Rev. Astron. Astrophys. 43, 481–530 (2005)

    Article  ADS  Google Scholar 

  • Asplund, M., Grevesse, N., Sauval, A.J.: In: Barnes, T.G., Bash, F.N. (eds.) Cosmic Abundances as Records of Stellar Evolution and Nucleosynthesis. ASP Conference Series, vol. 336, p. 25. San Francisco (2005)

  • Baturin, V.A., Däppen, W., Gough, D.O., Vorontsov, S.V.: Mon. Not. R. Astron. Soc. 316, 71 (2000)

    Article  ADS  Google Scholar 

  • Basu, S., Christensen-Dalsgaard, J.: Astron. Astrophys. 322, L5 (1997)

    ADS  Google Scholar 

  • Basu, S., Mazumdar, A., Antia, H.M., Demarque, P.: Mon. Not. R. Astron. Soc. 350, 277 (2004)

    Article  ADS  Google Scholar 

  • Berrington, K.A.: The Opacity Project, vol. II. Institute of Physics, Bristol (1997)

    Google Scholar 

  • Berthomieu, G., Cooper, A.J., Gough, D.O., Osaki, Y., Provost, J., Rocca, A.: In: Hill, H.A., Dziembowski, W. (eds.) Nonradial and Nonlinear Stellar Pulsation. Lecture Notes in Physics, vol. 125, p. 307. Springer, Heidelberg (1980)

    Chapter  Google Scholar 

  • Christensen-Dalsgaard, J.: Space Sci. Rev. 85, 19 (1998)

    Article  ADS  Google Scholar 

  • Christensen-Dalsgaard, J.: Rev. Mod. Phys. 74, 1073 (2002)

    Article  ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Däppen, W.: Astron. Astrophys. Rev. 4, 267 (1992)

    Article  ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Däppen, W., the GONG Team: Science 272, 1286 (1996)

    Article  ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Proffitt, C.R., Thompson, M.J.: Astrophys. J. 403, L75 (1993)

    Article  ADS  Google Scholar 

  • Däppen, W.: In: Rogers, F., DeWitt, H. (eds.) Strongly Coupled Plasma Physics, p. 179. NATO-ASI Ser., New York (1987)

  • Däppen, W.: Space Sci. Rev. 85, 49 (1998)

    Article  ADS  Google Scholar 

  • Däppen, W., Gough, D.O.: In: Gabriel, M., Noels, A. (eds.) Theoretical Problems in Stellar Oscillations and Stability, p. 264. Institut d’Astrophysique, Liège (1984)

    Google Scholar 

  • Däppen, W., Mao, D.: J. Phys. A, Math. Theor. 42, 214006 (2009)

    Article  ADS  Google Scholar 

  • Däppen, W., Mihalas, D., Hummer, D.G., Mihalas, B.W.: Astrophys. J. 332, 261 (1988)

    Article  ADS  Google Scholar 

  • Ebeling, W., Kraeft, W.D., Kremp, D.: Theory of Bound States and Ionization Equilibrium in Plasmas and Solids. Akademie-Verlag, Berlin (1976)

    Google Scholar 

  • Eggleton, P.P., Faulkner, J., Flannery, B.P.: Astron. Astrophys. 23, 325 (1973)

    ADS  Google Scholar 

  • Gong, Z.-G., Däppen, W., Nayfonov, A.: Astrophys. J. 563, 419 (2001)

    Article  ADS  Google Scholar 

  • Gough, D.O.: Mem. Soc. Astron. Ital. 55, 13 (1984)

    ADS  Google Scholar 

  • Gough, D.O.: In: Zahn, J.-P., Zinn-Justin, J. (eds.) Astrophysical Fluid Dynamics, p. 399. Elsevier, Amsterdam (1993)

    Google Scholar 

  • Grevesse, N., Asplund, M., Sauval, A.J.: Space Sci. Rev. 130, 105–114 (2007)

    Article  ADS  Google Scholar 

  • Gryaznov, V.K., Ayukov, S.V., Baturin, V.A., Iosilevskiy, I.L., Starostin, A.N., Fortov, V.E.: In: Celebonovic, V., Däppen, W., Gough, D. (eds.) Equation-of-State and Phase-Transition Issues in Models of Ordinary Astrophysical Matter. AIP Conference Proceedings, vol. 731, p. 147. Melville, New York (2004) (and several other articles therein)

  • Houdek, G., Gough, D.O.: Mon. Not. R. Astron. Soc. 375, 861 (2007)

    Article  ADS  Google Scholar 

  • Huang, K.: Statistical Mechanics. Wiley, New York (1963). Chap. 14

    Google Scholar 

  • Hummer, D.G., Mihalas, D.: Astrophys. J. 331, 794 (1988)

    Article  ADS  Google Scholar 

  • Iglesias, C.A., Rogers, F.J.: Astrophys. J. 371, 408 (1991)

    Article  ADS  Google Scholar 

  • Iglesias, C.A., Rogers, F.J.: Astrophys. J. 412, 752 (1993)

    Article  ADS  Google Scholar 

  • Iglesias, C.A., Rogers, F.J.: Astrophys. J. 443, 460 (1995)

    Article  ADS  Google Scholar 

  • Iglesias, C.A., Rogers, F.J.: Astrophys. J. 464, 943 (1996)

    Article  ADS  Google Scholar 

  • Iglesias, C.A., Rogers, F.J., Wilson, B.G.: Astrophys. J. Lett. 322, L45 (1987)

    Article  ADS  Google Scholar 

  • Kraeft, W.D., Kremp, D., Ebeling, W., Röpke, G.: Quantum Statistics of Charged Particle Systems. Plenum, New York (1986)

    Google Scholar 

  • Kremp, D., Schlanges, M., Kraeft, W.-D.: Quantum Statistics of Nonideal Plasmas. Springer, Berlin (2005)

    Google Scholar 

  • Liang, A.: In: Celebonovic, V., Däppen, W., Gough, D. (eds.) Equation-of-State and Phase-Transition Issues in Models of Ordinary Astrophysical Matter. AIP Conference Proceedings, vol. 731, p. 106. Melville, New York (2004)

  • Lin, C.-H., Däppen, W.: Astrophys. J. 623, 556 (2005)

    Article  ADS  Google Scholar 

  • Mao, D.: PhD Thesis, University of Southern California, Los Angeles (2008)

  • Mao, D., Mussack, K., Däppen, W.: Astrophys. J. 701, 1204 (2009)

    Article  ADS  Google Scholar 

  • Mihalas, D., Däppen, W., Hummer, D.G.: Astrophys. J. 331, 815 (1988)

    Article  ADS  Google Scholar 

  • Nayfonov, A., Däppen, W., Hummer, D.G., Mihalas, D.M.: Astrophys. J. 526, 451–464 (1999)

    Article  ADS  Google Scholar 

  • Perez, A., Chabrier, G.: In: Celebonovic, V., Däppen, W., Gough, D. (eds.) Equation-of-State and Phase-Transition Issues in Models of Ordinary Astrophysical Matter. AIP Conference Proceedings, vol. 731, p. 208. Melville, New York (2004)

  • Perez, A., Däppen, W.: In: Proc. of Fourth SOHO Workshop Helioseismology, p. 15. ESA-SP-376, June 1995

  • Perez, A., Mussack, K., Däppen, W., Mao, D.: Astron. Astrophys. 505, 735 (2009)

    Article  ADS  Google Scholar 

  • Rogers, F.J.: Astrophys. J. 310, 723–728 (1986) (and references therein)

    Article  ADS  Google Scholar 

  • Rogers, F.J., Swenson, F.J., Iglesias, C.A.: Astrophys. J. 456, 902 (1996a)

    Article  ADS  Google Scholar 

  • Rogers, F.J., Swenson, F.J., Iglesias, C.A.: Astrophys. J. 576, 1064 (1996b)

    Article  Google Scholar 

  • Rogers, F.J., Nayfonov, A.: Astrophys. J. 576, 1064 (2002)

    Article  ADS  Google Scholar 

  • Seaton, M.J.: The Opacity Project, vol. I. Institute of Physics, Bristol (1995)

    Google Scholar 

  • Trampedach, R., Däppen, W., Baturin, V.A.: Astrophys. J. 646, 560 (2006)

    Article  ADS  Google Scholar 

  • Vauclair, S.: Space Sci. Rev. 85, 71 (1998)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, University of Southern California, Los Angeles, CA, 90089, USA

    Werner Däppen

Authors
  1. Werner Däppen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Werner Däppen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Däppen, W. Accurate and versatile equations of state for the Sun and Sun-like stars. Astrophys Space Sci 328, 139–146 (2010). https://doi.org/10.1007/s10509-010-0269-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10509-010-0269-2

Keywords

Search

Navigation